The number 4711
4711 is a composite number with 4 divisors. Its prime factorisation is 7 × 673. Divisors (4): 1, 7, 673, 4711.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4711: a semiprime: 7 × 673, the product of two primes.
- 2
4711 is composite. Its prime factorisation is
- 3
The divisors add up to 5392; without 4711 itself that is 681, so 4711 is deficient (681 is less than 4711). Euler's totient φ(4711) = 4032 numbers up to 4711 share no factor with it.
- 4
The digits of 4711 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4711 = 7 \times 673 \]
4711 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5392 |
| Euler totient φ(n) | 4032 |
| Square | 22193521 |
| Cube | 104553677431 |
| Square root | 68.636725 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.711 × |
4711 in other forms
| Form | Value |
|---|---|
| In words | four thousand seven hundred and eleven |
| Binary (base 2) | 1001001100111 |
| Octal (base 8) | 11147 |
| Hexadecimal (base 16) | 1267 |
| Base 3 | 20110111 |
| As time | 4711 seconds = 1 h 18 min 31 s |
Is 4711 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (4711 ÷ 7 = 673) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4711 a prime number?
No. 4711 = 7 × 673, so it is divisible by 7.
What are the factors of 4711?
1, 7, 673, 4711.
What is 4711 in binary?
1001001100111 (hexadecimal 1267, octal 11147).
What is the square root of 4711?
About 68.6367.
Is 4711 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4711?
4711 is a semiprime: 7 × 673, the product of two primes.